Relativistic electrodynamics with a universal length scale
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1fj9-qccb.pdf
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Author(s)
Pedergnana, Tiemo
Kogelbauer, Florian
Date Issued
August 20, 2025
Journal
Physical Review Research
Publisher
American Physical Society (APS)
Citation
Pedergnana, Tiemo and Kogelbauer, Florian. 2025. "Relativistic electrodynamics with a universal length scale." Physical Review Research, 7 (3).
Version
Final published version
Abstract
We derive the analogues of the Dirac and Pauli equations from a spatially fourth-order Klein-Gordon equation with a universal length scale. Starting from a singularly perturbed variant of Maxwell's equations, we deduce a 32-dimensional variant of the Dirac equation for spin-1/2 particles through an algebraic factorization procedure. We illustrate an experimental test of the theory from the split lines of the electron beam in a Stern-Gerlach experiment. This hyperfine splitting leads to four distinct eigenvalues of the spin operator, which can be grouped into two pairs centered around the classic values of ±ℏ/2. The modified electrodynamic framework features an oriented, micropolar spacetime.
MIT Department
Massachusetts Institute of Technology. Department of Mechanical Engineering
Terms of Use
Creative Commons Attribution
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1103/1fj9-qccb
